We exhibit a group of type F whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds.
Ascari, D., Milizia, F. (2024). Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov. GEOMETRIC AND FUNCTIONAL ANALYSIS, 34(3), 631-658 [10.1007/s00039-024-00676-9].
Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov
Milizia, Francesco
2024
Abstract
We exhibit a group of type F whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds.File in questo prodotto:
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Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov.pdf
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